Notices of the American Mathematical Society
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- Volume 47 | Number 10 | October 2000
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Table of Contents
Featured Articles and Invitations from the AMS
A Treasure Trove of Geometry and Analysis: The Hyperquadric
Francois Treves
Analysis of the locus ${\frak I}m\,w=
Lattices, Linear Codes, and Invariants, Part I
Noam D. Elkies
This two-part article discusses a far-reaching analogy between lattice packings in Euclidean space and linear error-correcting codes. It carries the reader through a range of pure and applied areas, including number theory, finite groups, orthogonal polynomials, and signal transmissions. Part I concentrates on sphere and lattice packings, theta functions, and modular forms.
Pictures and Proofs
Bill Casselman
How might pictures be used better in mathematical exposition? The author gives some suggestions, using material from elementary mathematics and several historical examples of importance.